Robin Hanson argues for the "many weak arguments" approach in this post. Describing a difference between himself and Bryan Caplan, he writes,

Bryan [Caplan]'s picture seems to be of a long metal chain linked at only one end to a solid foundation; chains of reasoning mainly introduce errors, so we do best to find and hold close to our few most confident intuitions. My picture is more like Quine's "fabric," a large hammock made of string tied to hundreds of leaves of invisible trees; we can't trust each leaf much, but even so we can stay aloft by connecting each piece of string to many others and continually checking for and repairing broken strings.